Two-level systems physically realize qubits, which are the basic units of digital quantum computing. In this paradigm, externally controllable parameters should be designed to manipulate the qubits, implementing fast and robust gate operations. Thus, one can construct a universal fault-tolerant quantum computer with physical platforms based on trapped ions and superconducting circuits [1]}. In this way, quantum error correction can also be realized physically to reduce the effects of quantum noises and systematic errors. From this perspective, quantum control is bridged to quantum information processing and quantum computing. This connection leads to enormous researches devoted to producing precise quantum control of qubits with driving fields, including adiabatic passages [2]}, optimized resonant \(\pi \)  pulses [3]}, composite pulses [4]}, [5]}, [6]}, pulse-shape engineering [7]}, [8]}, [9]}, and other optimizations [10]}, [11]}, [12]}, [13]}, [14]}, [15]}, [16]}. A most straightforward approach to transit less dynamics obeys the adiabatic theorem by tuning the time-dependent parameter sufficiently slow. However, prolonged operation time destructs the quantum information by induced decoherence, affecting information processing efficiency.
